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Finding the Fourth Proportional to 78,777, 118,165.50 and 23,373

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Solution

The fourth proportional to 78,777, 118,165.50 and 23,373 is: 35,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777 : 118,165.50 = 23,373 : x
  2. Step 2: Convert to fraction form
    78,777/118,165.50 = 23,373/x
  3. Step 3: Cross multiply
    78,777x = 118,165.50 × 23,373
  4. Step 4: Simplify right side
    78,777x = 2,761,882,231.50
  5. Step 5: Solve for x
    x = 2,761,882,231.50/78,777
  6. Step 6: Final answer
    x = 35,059.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.